Oscillation criteria for systems of parabolic equations with functional arguments
The authors obtain sufficient conditions for oscillation of the solutions of parabolic differential equations with functional arguments of the form \[ \frac{\partial}{\partial t}u_i(x,t) = a_i(t)\Delta u_i(x,t) + \sum_{k=1}^m \sum_{j=1}^s a_{ikj}(t)\Delta u_k(x,\rho_j(t)) \] \[ - \sum_{k=1}^m \sum_{h=1}^l q_{ikh}(x,t)u_k(x,\sigma_h(t)), \quad (x,t) \in \Omega \times \mathbb R_+, \quad i=1,\dots,m, \] subject to a boundary condition of Dirichlet or Neumann type.
boundary condition of Dirichlet or Neumann type
scientific article; zbMATH DE number 2144267